Pith Number

pith:CXBOF2QU

pith:2026:CXBOF2QU5NRTTRSDVMJNOBJNVL

not attested not anchored not stored refs pending

Sharp Log-Sobolev Inequalities for Finite Cyclic Groups with Word-Length

Haonan Zhang, Xinyuan Xie

arxiv:2606.02847 v1 · 2026-06-01 · math.CA · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXBOF2QU5NRTTRSDVMJNOBJNVL}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-03T01:05:24.474890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c2e2ea14eb6339c643ab12d7052daadd47b77c26d9bb13f195dd1962e440f7

Aliases

arxiv: 2606.02847 · arxiv_version: 2606.02847v1 · doi: 10.48550/arxiv.2606.02847 · pith_short_12: CXBOF2QU5NRT · pith_short_16: CXBOF2QU5NRTTRSD · pith_short_8: CXBOF2QU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXBOF2QU5NRTTRSDVMJNOBJNVL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 15c2e2ea14eb6339c643ab12d7052daadd47b77c26d9bb13f195dd1962e440f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ebccdad85fdbb4d054f02603f89f06aec9165a5690f27983e5aecd6ce00a01",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-01T20:11:29Z",
    "title_canon_sha256": "ca24f8328a99bd8962251e433f42a1326447513537a62743c964f8c21d4402cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02847",
    "kind": "arxiv",
    "version": 1
  }
}